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Finding the Third Proportional to 399,888 and 844,730

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Solution

The third proportional to 399,888 and 844,730 is: 1,784,421.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,888 : 844,730 = 844,730 : x
  2. Step 2: Convert to fraction form
    399,888/844,730 = 844,730/x
  3. Step 3: Cross multiply
    399,888x = 844,730 × 844,730
  4. Step 4: Simplify right side
    399,888x = 713,568,772,900
  5. Step 5: Solve for x
    x = 713,568,772,900/399,888
  6. Step 6: Final answer
    x = 1,784,421.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.